Parallelogram

Parallelogram theorem – Parallelograms on same base and between same parallel lines are equal in area

In this post we’ll discuss important theorem about parallelogram.The theorem is very important and you have to remember it as it will help you solve variety of problems in your examination. Consider the below parallelogram ABCD and EFCD.Note that both the parallelograms have same base CD.Also, both the parallelograms lie between same parallel lines AF …

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Prove that if diagonal of quadrilateral bisect each other then it is parallelogram

Consider the below quadrilateral ABCD in which diagonals bisect each other. Given:ABCD is a quadrilateral.AC & BD are diagonals bisecting each other.Hence, AO = OC and BO = OD. To Prove:Prove that the given quadrilateral is a parallelogram. Proof:Consider triangle AOB and COD; AO = OC (given)∠AOB = ∠COD ( vertically opposite angle)BO = OD …

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Prove that diagonals of parallelogram bisect each other

Consider the below parallelogram ABCD with diagonals AC and BD. Given:We know that opposite sides of parallelogram are equal.AB = CDAD = BC Also in parallelogram, opposite sides are parallel to each other.AB || CDAD || BC To prove:Diagonals bisect each other.AO = OCDO = OB Proof:Consider triangle AOD and BOC. AD = BC (given)∠DAO …

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